36 citations · 140 across the 25 of their papers we have counts for
30 papers
The Fock Space Dynamics of Causal Fermion Systems: Non-Abelian Gauge Fields
Claudio Dappiaggi, Felix Finster, Niky Kamran +1
A limiting case is worked out in which the causal action principle for causal fermion systems describing Minkowski space gives rise to the linear Fock space dynamics of perturbativ…
The Hawking Singularity Theorem for Hölder Continuous Metrics with -Bounded Curvature
Michael Kunzinger, Moritz Reintjes, Roland Steinbauer +1
We prove a low-regularity version of Hawking's singularity theorem for Lorentzian metrics in with Riemann curvature in , where and the dimension of spacet…
Static Stellar Phase Transitions in General Relativity and a Generalized Buchdahl Limit
Moritz Reintjes, Ruochen Xia
We give the first general construction of solutions of the static spherically symmetric Einstein-Euler equations, the Tolman-Oppenheimer-Volkoff (TOV-)equation, with prescribed den…
Dissipative relativistic fluid flow: A simple Lorentz invariant causal model capturing entropy shocks in its zero viscosity limit
Moritz Reintjes, Adhiraj Chaddha
Zero viscosity limits, by identifying the physical (Lax admissible) shocks, are a cornerstone in the design of analytical and numerical schemes for the study of classical shock wav…
The essential regularity of singular connections in geometry
Moritz Reintjes, Blake Temple
This paper, a culmination of the authors' theory of the RT-equations, accomplishes the following: (i) We discover there is a true (geometric) regularity associated with every affin…
Holographic Mixing and Fock Space Dynamics of Causal Fermion Systems
Claudio Dappiaggi, Felix Finster, Niky Kamran +1
A limiting case is considered in which the causal action principle for causal fermion systems describing Minkowski space gives rise to the linear Fock space dynamics of quantum ele…
On Weak Solutions to the Geodesic Equation in the Presence of Curvature Bounds
Moritz Reintjes, Blake Temple
We show that taking account of bounded curvature reduces the threshold regularity of connection coefficients required for existence and uniqueness of solutions to the geodesic equa…
Strong Cosmic Censorship with Bounded Curvature
Moritz Reintjes
In this paper we propose a weaker version of Penrose's much heeded Strong Cosmic Censorship (SCC) conjecture, asserting inextentability of maximal Cauchy developments by manifolds…
Entangled Quantum States of Causal Fermion Systems and Unitary Group Integrals
Felix Finster, Niky Kamran, Moritz Reintjes
This paper is dedicated to a detailed analysis and computation of quantum states of causal fermion systems. The mathematical core is to compute integrals over the unitary group asy…
Optimal Regularity and Uhlenbeck Compactness for General Relativity and Yang-Mills Theory
Moritz Reintjes, Blake Temple
We announce the extension of optimal regularity and Uhlenbeck compactness to the general setting of connections on vector bundles with non-compact gauge groups over non-Riemannian…
On the Optimal Regularity Implied by the Assumptions of Geometry II: Connections on Vector Bundles
Moritz Reintjes, Blake Temple
We extend authors' prior results on optimal regularity and Uhlenbeck compactness for affine connections to general connections on vector bundles. This is accomplished by deriving a…
Decay and Subluminality of Modes of all Wave Numbers in the Relativistic Dynamics of Viscous and Heat Conductive Fluids
Heinrich Freistühler, Moritz Reintjes, Blake Temple
To further confirm the causality and stability of a second-order hyperbolic system of partial differential equations that models the relativistic dynamics of barotropic fluids with…
On the Optimal Regularity Implied by the Assumptions of Geometry I: Connections on Tangent Bundles
Moritz Reintjes, Blake Temple
We resolve the problem of optimal regularity and Uhlenbeck compactness for affine connections in General Relativity and Mathematical Physics. First, we prove that any affine connec…
How to smooth a crinkled map of spacetime: Uhlenbeck compactness for connections and optimal regularity for general relativistic shock waves by the Reintjes-Temple-equations
Moritz Reintjes, Blake Temple
We present authors' new theory of the RT-equations, nonlinear elliptic partial differential equations which determine the coordinate transformations which smooth connections to…
Optimal metric regularity in General Relativity follows from the RT-equations by elliptic regularity theory in -spaces
Moritz Reintjes, Blake Temple
Shock wave solutions of the Einstein equations have been constructed in coordinate systems in which the gravitational metric is only Lipschitz continuous, but the connection an…
The Regularity Transformation Equations: An elliptic mechanism for smoothing gravitational metrics in General Relativity
Moritz Reintjes, Blake Temple
A central question in General Relativity (GR) is how to determine whether singularities are geometrical properties of spacetime, or simply anomalies of a coordinate system used to…
The Fermionic Signature Operator and Space-Time Symmetries
Felix Finster, Moritz Reintjes
We show that and specify how space-time symmetries give rise to corresponding symmetries of the fermionic signature operator and generalized fermionic projector states.
Shock Wave Interactions and the Riemann-flat Condition: The Geometry behind Metric Smoothing and the Existence of Locally Inertial Frames in General Relativity
Moritz Reintjes, Blake Temple
We prove that the essential smoothness of the gravitational metric at shock waves in GR, a PDE regularity issue for weak solutions of the Einstein equations, is determined by a geo…
The Fermionic Signature Operator and Hadamard States in the Presence of a Plane Electromagnetic Wave
Felix Finster, Moritz Reintjes
We give a non-perturbative construction of a distinguished state for the quantized Dirac field in Minkowski space in the presence of a time-dependent external field of the form of…
A note on incompressibility of relativistic fluids and the instantaneity of their pressures
Moritz Reintjes
We introduce a natural notion of incompressibility for fluids governed by the relativistic Euler equations on a fixed background spacetime, and show that the resulting equations re…
A Proposal of a Damping Term for the Relativistic Euler Equations
Moritz Reintjes
We introduce a damping term for the special relativistic Euler equations in -D and show that the equations reduce to the non-relativistic damped Euler equations in the Newtonian…
Constrained Systems of Conservation Laws: A Geometric Theory
Moritz Reintjes
We address the Riemann and Cauchy problems for systems of conservation laws in unknowns which are subject to constraints (). Such constrained systems general…
No Regularity Singularities Exist at Points of General Relativistic Shock Wave Interaction between Shocks from Different Characteristic Families
Moritz Reintjes, Blake Temple
We give a constructive proof that coordinate transformations exist which raise the regularity of the gravitational metric tensor from to in a neighborhood of po…
"Regularity Singularities" and the Scattering of Gravity Waves in Approximate Locally Inertial Frames
Moritz Reintjes, Blake Temple
It is an open question whether solutions of the Einstein-Euler equations are smooth enough to admit locally inertial coordinates at points of shock wave interaction, or whether "re…